Problem 1TI: Given cos(0.5)0.8776 , write a relation involving the inverse cosine. Problem 2TI: Evaluate each of the following. a. sin1(1) b. tan1(1) c. cos1(1) d. cos1(12) Problem 3TI: Evaluate cos1(0.4) using a calculator. Problem 4TI: Solve the triangle in Figure 9 for the angle . Problem 5TI: Evaluate tan1(tan(8)) and tan1(tan( 119)) . Problem 6TI: Evaluate cos1(sin( 114)) . Problem 7TI: Evaluate cos(tan1(5 12)) . Problem 8TI: Evaluate cos(sin1(79)) . Problem 9TI: Find a simplified expression for sin(tan1(4x)) for 14x14 . Problem 1SE: Why do the functions f(x)=sin1x and g(x)=cos1x have different ranges? Problem 2SE: Since the function y=cosx and y=cos1x are inverse function, why is cos1(cos(6)) not equal to 6 ? Problem 3SE: Explain the meaning of 6=arcsin(0.5) . Problem 4SE: Most calculators do not have a key to evaluate sec1(2) . Explain how this can be done using the... Problem 5SE: Why must the domain of the sine function, sin x, be restricted to [2,2] for the inverse sine... Problem 6SE: Discuss why this statement is incorrect: arccos(cosx)=x for all x. Problem 7SE: Determine whether the following statement is true or false and explain your answer:... Problem 8SE: For the following exercises, evaluate the expressions. 8. sin1(22) Problem 9SE: For the following exercises, evaluate the expressions. 9. sin1(12) Problem 10SE: For the following exercises, evaluate the expressions 10. cos1(12) Problem 11SE: For the following exercises, evaluate the expressions 11. cos1(22) Problem 12SE: For the following exercises, evaluate the expressions 12. tan1(1) Problem 13SE: For the following exercises, evaluate the expressions 13. tan1(3) Problem 14SE: For the following exercises, evaluate the expressions. 14. tan1(1) Problem 15SE: For the following exercises, evaluate the expressions. 15. tan1(3) Problem 16SE: For the following exercises, evaluate the expressions. 16. tan1(13) Problem 17SE: For the following exercises, use a calculator to evaluate each expression. Express answers to the... Problem 18SE: For the following exercises, use a calculator to evaluate each expression. Express answers to the... Problem 19SE: For the following exercises, use a calculator to evaluate each expression. Express answers to the... Problem 20SE: For the following exercises, use a calculator to evaluate each expression. Express answers to the... Problem 21SE: For the following exercises, use a calculator to evaluate each expression. Express answers to the... Problem 22SE: For the following exercises, find the angle in the given right triangle. Round answers to the... Problem 23SE: For the following exercises, find the angle in the given right triangle. Round answers to the... Problem 24SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 25SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 26SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 27SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 28SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 29SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 30SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 31SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 32SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 33SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 34SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 35SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 36SE: For the following exercises, find the exact value, if possible, without a calculator. If it is not... Problem 37SE: For the following exercises, find the exact value of the expression in terms of x with the help of a... Problem 38SE: For the following exercises, find the exact value of the expression in terms of x with the help of a... Problem 39SE: For the following exercises, find the exact value of the expression in terms of x with the help of a... Problem 40SE: For the following exercises, find the exact value of the expression in terms of x with the help of a... Problem 41SE: For the following exercises, find the exact value of the expression in terms of x with the help of a... Problem 42SE: For the following exercises, evaluate the expression without using a calculator. Give the exact... Problem 43SE: For the following exercises, find the function if sint=xx+1 . 43. cost Problem 44SE: For the following exercises, find the function if sint=xx+1 . 44. sect Problem 45SE: For the following exercises, find the function if sint=xx+1 . 45. cott Problem 46SE: For the following exercises, find the function if sint=xx+1 . 46. cos(sin1(x x+1)) Problem 47SE: For the following exercises, find the function if sint=xx+1 . 47. tan1(x 2x+1) Problem 48SE: Graph y=sin1x and state the domain and range of the function. Problem 49SE: Graph y=arccosx and state the domain and range of the function. Problem 50SE: Graph one cycle of y=tan1x and state the domain and range of the function. Problem 51SE: For what value of x does sinx=sin1x ? Use a graphing calculator to approximate the answer. Problem 52SE: For what value of x does cosx=cos1x ? Use a graphing calculator to approximate the answer. Problem 53SE: Suppose a 13-foot ladder is leaning against a building, reaching to the bottom of a second-floor... Problem 54SE: Suppose you drive 0.6 miles on a road so that the vertical distance changes from 0 to 150 feet. What... Problem 55SE: An isosceles triangle has two congruent sides of length 9 inches. The remaining side has a length of... Problem 56SE: Without using a calculator, approximate the value of arctan(10,000) . Explain why your answer is... Problem 57SE: A truss for the roof of a house is constructed from two identical right triangles. Each has a base... Problem 58SE: The line y=35x passes through the origin in the x,y-plane. What is the measure of the angle that the... Problem 59SE: The line y=37x passes through the origin in the x,y-plane. What is the measure of the angle that the... Problem 60SE: What percentage grade should a road have if the angle of elevation of the road is 4 degrees? (The... Problem 61SE: A 20-foot ladder leans up against the side of a building so that the foot of the ladder is 10 feet... Problem 62SE: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the... format_list_bulleted
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